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Simulation of spatio-temporal turbulence on the basis of the discrete kinetic system
Author(s) -
В. В. Аристов,
O. V. Ilyin
Publication year - 2010
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2010.04.078
Subject(s) - chaotic , kinetic energy , knudsen number , basis (linear algebra) , turbulence , series (stratigraphy) , statistical physics , computer science , character (mathematics) , mathematics , exponential function , physics , classical mechanics , mechanics , mathematical analysis , paleontology , geometry , artificial intelligence , biology
The chaotic processes in time and space are investigated explicitly by means of solving the initial-boundary problem for the discrete kinetic equation. The Carleman model is studied. The physical interpretation of this kinetic system is presented. Numerical solutions show series of bifurcations when decreasing the Knudsen number. That leads to the period-doublings and then to the chaotic regimes with the positive senior Lyapunov exponential. The spatial oscillating profiles with the average solutions which differ from the steady profiles are observed. The chaotic character of the oscillations with intermittence is studied. This introduces a basic model for kinetic description of complicated physical processes

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